janmr blog

a to the bth power versus b to the ath power August 4, 2024

The Wave Equation on the Unit Square May 7, 2024

Finite Difference Discretization of the 2D Laplace Operator May 4, 2024

The 1D Laplace Matrix Using NumPy and SciPy April 28, 2024

Finite Difference Discretization of the 1D Laplace Operator April 27, 2024

A Kronecker Product and Vec Operator Identity April 26, 2024

The Computer as Brain Breaker April 25, 2024

Neural Networks - Digit Recognition December 22, 2023

Neural Networks - Linear Regression December 21, 2023

Simple Linear Regression December 20, 2023

No-Intercept Simple Linear Regression December 19, 2023

Origin-Centered Simple Linear Regression December 18, 2023

Equality of Floating-Point Numbers December 3, 2023

Linear Regression Applied May 5, 2023

Linear Regression Basics May 4, 2023

A Simple Sudoku Solver May 2, 2023

A Sum of All Digit Permutations April 10, 2023

Neural Networks - Implementation January 22, 2023

Neural Networks - Activation Functions January 21, 2023

Neural Networks - Back-propagation Matrix-style January 20, 2023

Neural Networks - Back-propagation Derivation January 19, 2023

Neural Networks - Gradient Descent January 18, 2023

Neural Networks - The Optimization Problem January 17, 2023

Neural Networks - Multiple Inputs January 16, 2023

Neural Networks - The Model January 15, 2023

Neural Networks - Preface January 14, 2023

Rust and Iterator Adapters January 24, 2021

The nth Bit of a Negative Number January 9, 2021

Generating All Permutations June 14, 2020

Leap Year Rules April 15, 2020

Wrapping HTML inside MathML February 23, 2017

Tiling with L-Trominos January 24, 2016

Time Budgets for the Web April 26, 2015

MathJax 2.4 vs 2.5 March 8, 2015

Grouping Typesets With MathJax March 3, 2015

Typesetting Math Using HTML and CSS: Fractions January 24, 2015

MathJax, KaTeX and a lot of Math January 11, 2015

Entering the World of Web Components July 2, 2014

Deriving the Closed Form for Square Pyramidal Numbers June 14, 2014

Structure of a Multiple-Precision Library in C++ June 3, 2014

Comparing Rational Numbers Without Overflow May 18, 2014

Bresenham's Line Algorithm April 24, 2014

Basic Multiple-Precision Long Division April 14, 2014

Six Circles Theorem Illustrated April 6, 2014

Archimedes' Twin Circles Illustrated April 3, 2014

Thales' Theorem Illustrated April 2, 2014

An Infinite Series Involving a Sideways Sum July 3, 2013

Good Rational Bounds January 7, 2013

Basic Multiple-Precision Short Division November 28, 2012

Basic Multiple-Precision Multiplication November 9, 2011

Multiple-Precision Subtraction October 26, 2011

Multiple-Precision Addition October 12, 2011

Multiple-Precision Number Representation October 5, 2011

Bell Numbers June 23, 2011

Going Functional May 31, 2011

The Crossed Ladders Problem March 27, 2011

Fast Evaluation of Fibonacci Numbers March 11, 2011

Stackexchange Lists February 3, 2011

Evaluation of Powers January 30, 2011

Where Did pi Come From? January 9, 2011

Prime Factors of Factorial Numbers October 30, 2010

Computing the Integer Binary Logarithm September 27, 2010

C++ Templates and Usual Arithmetic Conversions August 28, 2010

Bitwise Operators and Negative Numbers July 24, 2010

Book Review: The Book of Numbers May 23, 2010

Arithmetic by Geometry April 24, 2010

Line-line Intersection in the Plane March 30, 2010

Visualizing the Pythagorean Theorem February 14, 2010

Fractions and Circles February 6, 2010

Book Review: Prime Obsession January 9, 2010

The Stern-Brocot Tree of Fractions December 4, 2009

Book review: The Pleasures of Counting November 15, 2009

Continued Fractions and Continuants November 10, 2009

Computing the Greatest Common Divisor October 29, 2009

Remembering Trigonometric Addition Formulas September 23, 2009

Useful Properties of the Floor and Ceil Functions September 9, 2009

On the Divergence of a Geometric Progression Sum August 28, 2009

Implementing Multiple-Precision Arithmetic, Part 2 August 20, 2009

Implementing Multiple-Precision Arithmetic, Part 1 July 23, 2009

The Game of Nim April 20, 2009

Twelve Ways of Counting December 26, 2008

Nice Proof of a Geometric Progression Sum October 8, 2008